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On dual problems of second order for (η, ξ)-bonvex interval-valued control problems

Pîrje Cristina-Florentina, Treanţă Savin, Guo Yating, Upadhyay Balendu Bhooshan, Shi Fangfang

Control and Cybernetics

2025

Vol. 54, No. 1

5--25

The paper studies the dual problems of second order, associated with a new class of (η, ξ)-bonvex interval-valued variational control problems. More precisely, by considering the corresponding necessary optimality conditions, we prove the associated duality (weak, strong, strictly converse) results under the new (η, ξ)- bonvexity assumptions of the involved functionals. In addition, illustrative examples are provided in order to highlight the theoretical elements established in the paper.